量子透镜空间作为图代数的分类与描述

Pub Date : 2022-02-01 DOI:10.4153/s0008414x23000044

Thomas Gotfredsen, Sophie Emma Zegers

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引用次数: 0

摘要

．我们研究了量子透镜空间，C (l2n + 1q (r;m))，由Brzezi ' nski- szyma ' nski作为图C * -代数引入。给出了C (l2n + 1q (r;m))作为图C * -代数，修正了Brzezi ' nski- szyma ' nski在原论文中的一个错误。进一步地，当n≤3时，我们给出了除一个权值外的所有权值对作用群r的阶都是素数的一个数论不变量。这建立在Eilers、Restorff、Ruiz和Sørensen的工作基础上。

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On The Classification and Description of Quantum Lens Spaces as Graph algebras

. We investigate quantum lens spaces, C ( L 2 n +1 q ( r ; m )), introduced by Brzezi´nski-Szyma´nski as graph C ∗ -algebras. We give a new description of C ( L 2 n +1 q ( r ; m )) as graph C ∗ -algebras amending an error in the original paper by Brzezi´nski-Szyma´nski. Furthermore, for n ≤ 3, we give a number-theoretic invariant, when all but one weight are coprime to the order of the acting group r . This builds upon the work of Eilers, Restorﬀ, Ruiz and Sørensen.

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